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123211111129 is a prime number
BaseRepresentation
bin111001010111111110…
…1000101101011011001
3102210000210102221212021
41302233331011223121
54004314021024004
6132334041414441
711621200110301
oct1625775055331
9383023387767
10123211111129
1148287507477
121ba6719a421
13b807546422
145d6b9c4601
153311d4ad54
hex1caff45ad9

123211111129 has 2 divisors, whose sum is σ = 123211111130. Its totient is φ = 123211111128.

The previous prime is 123211111109. The next prime is 123211111207. The reversal of 123211111129 is 921111112321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75402414025 + 47808697104 = 274595^2 + 218652^2 .

It is a cyclic number.

It is not a de Polignac number, because 123211111129 - 25 = 123211111097 is a prime.

It is not a weakly prime, because it can be changed into another prime (123211111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61605555564 + 61605555565.

It is an arithmetic number, because the mean of its divisors is an integer number (61605555565).

Almost surely, 2123211111129 is an apocalyptic number.

It is an amenable number.

123211111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

123211111129 is an equidigital number, since it uses as much as digits as its factorization.

123211111129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 25.

The spelling of 123211111129 in words is "one hundred twenty-three billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-nine".